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Finding the Fourth Proportional to 126,470.40, 189,708.84 and 59,894.88

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Solution

The fourth proportional to 126,470.40, 189,708.84 and 59,894.88 is: 89,843.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,470.40 : 189,708.84 = 59,894.88 : x
  2. Step 2: Convert to fraction form
    126,470.40/189,708.84 = 59,894.88/x
  3. Step 3: Cross multiply
    126,470.40x = 189,708.84 × 59,894.88
  4. Step 4: Simplify right side
    126,470.40x = 11,362,588,206.74
  5. Step 5: Solve for x
    x = 11,362,588,206.74/126,470.40
  6. Step 6: Final answer
    x = 89,843.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.